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Show that $p \rightarrow q$ and $q \rightarrow p$ are not equivalent.

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  • Conditional statement :"If $p$ then $q$" is written as $p\rightarrow q$ (p implies q).$p\rightarrow q$ is false only if $p$ is true and $q$ is false.If $p$ is false,then $p\rightarrow q$ is true ,regardless of the truth value of $q$
From the last two columns of the truth table,it is evident that $p\rightarrow q$ and $q\rightarrow p$ are not equivalent.
answered Sep 13, 2013 by sreemathi.v
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